Respuesta :

completed question:Rearrange this expression into quadratic form, a x 2 + b x + c = 0 , and identify the values of a , b , and c .

[tex]0.2=\frac{x^{2} }{85-x}[/tex]

Answer:

a=5, b=1, c=-85

Step-by-step explanation:

[tex]0.2=\frac{x^{2} }{85-x}[/tex]

0.2(85-x) =[tex]{x^{2}[/tex]

17-0.2x=[tex]{x^{2}[/tex]

[tex]{x^{2}[/tex]=17-0.2x

[tex]{x^{2}[/tex]+0.2x-17=0

multiply through by 5

[tex]{5x^{2}[/tex]+x-85=0

comparing this equation to the general quadratic equation;

[tex]{a^{2}[/tex]+bx+c=0

a=5, b=1, c=-85

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